The alleged toking-and-driving quarterback son of legendary Giants star Phil Simms claims cops misquoted him about admitting to smoking pot in his car — but court records show that he may be deeper in the weeds than it first seemed.

“I took four puffs,” Tennessee Titan Chris Simms told cops last month when he was busted on West Houston Street with his pregnant wife in his leased Mercedes, according to court papers made public today.

The alleged statements are more detailed than authorities had let on when Simms was released without bail after a morning behind bars last month.

Back then, authorities said only that Simms admitted, “I was smoking in the car,” and that there was none left in the car. That allowed the handsome blonde player to claim he meant cigarettes, and that cops just misunderstood him.

Confronted now with more specific police statements, Simms is fighting to have them tossed from the case entirely — along with his refusal to submit to urine and coordination tests — on grounds that cops had had no proper cause to stop and question him.

Calls to Simms’ lawyer were not immediately returned.

Meanwhile, in his first public statements since the arrest, Simms told the Tennessean newspaper that cops are just misquoting him.

“I can’t get into it, but what they have me quoted as saying is something I definitely didn’t say,” the Nashville resident told the paper.

Simms also said he felt bad, after the arrest, for famous dad — now an NFL analyst for CBS.

“I feel like I can handle it, but when situations like that happen, I know my dad is going to get drug through the mud,” he said in the interview.

Simms is due back in court for a judge’s decision on his toss-the-statements bid on August 23 — a date on which, the Tennessean notes, he is scheduled to play a preseason game against the Arizona Cardinals.

He has turned down a no-jail plea deal in which he’d pay a $500 fine, serve three days community service, and suffer a six-month license recommendation. If convicted, he faces up to a year jail.

His license to drive has already been automatically revoked, pending the outcome of the case, due to his refusal to submit to a urine test.